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rahul.s: Master | Next Rank: 500 Posts; Posts: 324; Joined: Thu Dec 24, 2009 6:29 am; Thanked: 17 times; Followed by:1 members

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by rahul.s » Thu Feb 11, 2010 2:08 am

please refer to the attachment for the figure.

the measure of angle PRS is how many times greater than the measure of angle PQR?

(1) angle QPR = 30 degrees
(2) the sum of the measures of angle PQR and PRQ = 150 degrees

OA is D

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Source: Beat The GMAT — Data Sufficiency | Thu Feb 11, 2010 2:08 am

sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 am; Location: India; Thanked: 267 times; Followed by:80 members; GMAT Score:760

by sanju09 » Thu Feb 11, 2010 2:57 am

rahul.s wrote:please refer to the attachment for the figure.

the measure of angle PRS is how many times greater than the measure of angle PQR?

(1) angle QPR = 30 degrees
(2) the sum of the measures of angle PQR and PRQ = 150 degrees

OA is D

The right wordings of the question are "the measure of angle PRS is how many degrees greater than the measure of angle PQR?"

We in fact need to answer: What is âˆ PRS - âˆ PQR?

(1) We know that, âˆ PRS = âˆ PQR + âˆ QPR; exterior angle property of triangle.

Hence, âˆ PRS - âˆ PQR = âˆ QPR = 30Â° (given).Sufficient

(2) With the sum of the measures of âˆ PRQ and âˆ PQR known, âˆ QPR can be obtained and âˆ PRS - âˆ PQR can be found accordingly. Sufficient

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sanjayism: Junior | Next Rank: 30 Posts; Posts: 26; Joined: Sat Oct 31, 2009 10:52 am; Location: rourkela; Thanked: 1 times

by sanjayism » Thu Feb 11, 2010 2:58 am

both statements will give the answer.

1) angle QPR =30
THEN SUM OF ANGLE PQR AND ANGLE QRP =180-30 =150

WHICH IS STATEMENT (2)

ASSUME ANGLE PQR =x
AND ANGLE QPR =30

THEN ANGLE PRS =X+30

DIFFERANCE OF THESE TWO ANGLE WILL BE 30 FROM BOTH STATEMENT INDIVIDUALLY.

kumar sanjay